ONLINE SUPPLEMENT Quantitative variables useful for the development of mechanistic simulation models of aphid flight, primarily relating to the four general principles given in the paper and should be read in relation to the discussion therein. Table S1: Flight parameters for uplift at the source (flight initiation). This table summarises key boundary values obtained from the literature for each environmental factor known to affect aphid flight initiation. Parameter Value/Notes Boundary layer Above 1m from the ground aphid movement is [1] Broadbent (1948); controlled by the wind [2] Campbell and Ridout (2001); [3] Compton (2002); [4] Taylor (1974) Aphids can’t fly into wind stronger than approximately [5] Haine (1955); [6] 0.5ms−1 (2kmh−1). Loxdale et al. (1993) Wind effects A large number of papers state that aphids do not take off in wind speeds above 8kmh−1. Source [7] Bottenberg and Irwin (1991); [8] Davies (1939); [5] Haine (1955); [9] Johnson (1962); [10] Kennedy (1990); [11] Kennedy and Booth (1963); [12] Stapley (1949); [13] Thomas and Vevai (1940) Evidence from suction traps shows that aphids will fly in [14] Johnson (1953) high winds. Ascent rate Minimum temperature threshold High winds delay but do not inhibit take-off. Continuous wind velocities of 5kmh−1 caused a delay of 4-10 hrs, and wind speeds of 8 kmh−1 caused a delay of 24 hours or more. However, after these extensions migratory flight occurred with regularity, when in a highly active state. [15] Walters and Dixon (1984) Aphids will still take off in wind velocities of approximately 10-11 kmh-1 Migrant alate aphids ascend rapidly up into the atmosphere if they are carried by convective updrafts with rates of ascent measured at up to 3ms-1 [5] Haine (1955) Without an updraft, aphids may climb rapidly when in a migratory state, e.g. 0.25ms-1 (Aphis fabae) In the UK the temperature threshold for flight varies with season for R. Padi: SPRING: min temp = 14°C; 50% takeoff = 16-17°C; 100% takeoff = 13-14°C [17] David (1988) [16] Gatehouse (1997) [15] Walters and Dixon (1984); SUMMER: min temp = 11°C; 50% takeoff = 13-14°C; 100% takeoff = 15°C AUTUMN: min temp = 3°C; 50% takeoff = 9-10°C; 100% takeoff = 13°C. Equations given for range of temperatures. Maximum temperature threshold Humidity Flight window Light A study in Uppsala, Sweden, showed that the temperature threshold for flight was highest in spring (16-17 °C) when leaving the primary host and lowest in autumn (9-10°C) while the threshold in summer is 1314°C (flight between grasses). [18] Wiktelius (1981) This may relate to temperatures over a time period (days) [19] Kleuken, 2009 Cereal aphids take off at 16°C Aphis fabae or Myzus persicae take off at about 17°C The maximum is presumed to be about 31°C [20] Klingauf, 1987 [9] Johnson, 1962 [21] Robert, 1987; [15] Walters and Dixon, 1984; [22] De Barro and Maelzer, 1993 (see also references in [19] Kleuken 2009) Early research showed that humidity should be lower than 70% for migration to occur. [12] Stapley, 1949; [8] Davies, 1939; [13] Thomas and Vevai, 1940 (all cited by [23] Johnson, 1954) After acclimitization aphids will take off readily even if humidity is 50-100% RH, therefore the effect of humidity is considered irrelevant. [24] Lewis and Siddorn, 1972; The period between moulting and taking flight varies from 6-36 hours. Johnson, 1953 Wing muscle autolysis occurs in as little as 2-3 days after moult. [6] Loxdale et al., 1993; [25] Dixon, 1988; [26] Broadbent, 1949; [14] Johnson, 1953; [27] Hardie et al., 1990; [28] Johnson et al., 1957; [29] Cockbain, 1961 [21] Robert, 1987 In general, take-off occurred at light intensities of 1000 lux (approx 3.85 Wm-2) and higher, with no upper limit. Laboratory studies have shown lower limits but such limits are considered negligible in the field. Table S2: Flight parameters for atmospheric transportation. This table summarises key boundary values obtained from the literature for each environmental factor known to affect aphid atmospheric transportation. Parameter Flight speed Flight distance Flight duration Value Maximum = 0.9 ms-1 (3.24 kmh-1) Source [3] Compton, 2002 [21] Robert, 1987 Flight speed ranges from 0.8-3.3kmh-1 Most migration is of the order of 20-50km [30] Ward et al., 1998; Average flight time spring migrants Aphis fabae: 19.3 [31] Nottingham and min, R. padi: 36 min Hardie, 1989; [32] Average flight time autumn migrants (Aphis fabae): 184 Nottingham et al., min, R. padi: 110 min 1991 Average flight time is 32-260 mins for flights >1 min [11] Kennedy duration (average 105 min), Aphis fabae Booth, 1963 Altitude and Estimated percentages for aphids predicted to remain Reynolds and airborne after x seconds: e.g. 0.1% aphids remain Reynolds, 2009 airborne after 3 hours. Aphids may be carried long distances by winds at 300- Taylor, 1965: quoted 1500m in [24] Lewis and Siddorn, 1972, pp253 Insects were common in layers below 1000m, and were observed up to height of about 2.5km [33] Leskinen, 2011 Most winged aphid migrations occur between 0.12 and [34] Fabre et al. 2010 1200m of height, in air layers where aphids are randomly distributed by turbulent atmospheric diffusion over a short distance. [35] Isard et al. 1990 Long distance flight termination Aphid density generally decreases systematically with altitude. Renewed visual responsiveness to plant-related wavelengths occurs, especially to yellow. Aphids are attracted to wavelengths > 500mμ, especially yellow, also green and orange. Actively bypass blue to ultra violet spectrum. Tested in the field, but some species are less sensitive. [3] Compton (2002); [36] Kennedy et al. (1961); [6] Loxdale et al. (1993); Table S3: Flight parameters for appetitive flight. This table summarises key boundary values obtained from the literature for each environmental factor known to affect aphid appetitive movement. Parameter Wind effects Value Source Alate aphids lose control of their flight at wind speeds of [5] Haine (1955); [6] around 2kmh−1 therefore lower wind speed is required for Loxdale et al. (1993) appetitive flight. Parameter Flight speed Value Maximum = 0.9 ms-1 (3.24kmh-1) Source [3] Compton, 2002 [21] Robert, 1987 -1 Flight speed ranges from 0.8-3.3kmh Flight To obtain the maximum distance flown by foraging aphids, [11] Kennedy duration and the maximum flight speed can be multiplied by the total Booth, 1963 distance foraging flight time of an aphid, which is about 30-240 minutes (influenced by many factors, e.g. habitat and exhaustion). The resultant maximum distance would be around 200 m (without wind assistance). 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